Quantum oscillation in multiply connected mesoscopic rings at finite temperature

Resonant transport properties of tight-binding mesoscopic rings

“…4 and 5 we can see that the rule of apearance of resonance peaks cannot be easily tackled, but for the waveguide ring systems it can. 20 The reason for this is that, for the waveguide theory, the electron transport through the system is perfectly ballistic, so that it may be analogous to serial superlattices. 18,20 However, our numerical calculation shows that for the tight-binding model there is no such analogy.…”

“…Deo and Jayannavar 18,19 have studied the quantum transmission properties of serial stub or loop structures and the band formation in these geometric structure. Takai and Ohta 20 have published a series of articles to investigate the same sort of problems but both magnetic flux and electrostatic potential are applied simultaneously. Before them, Cahay, Bandyopadhyay, and Grubin 11 have studied the A-B -type conductance oscillation in the presence of either a magnetic flux or an electrostatic potential.…”

“…In recent years, there has been extensive work on the electronic properties of mesoscopic rings in the framework of the ballistic model or waveguide theory. [16][17][18][19][20] Along this line, theoretical studies to date have concentrated largely on the isolated ring and open rings connected via leads to electron reservoirs, both of which are threaded by a magnetic flux. For the isolated ring, the persistent currents are the main subjects, in which an important and well-known conclusion is the ''period halfing, '' 22 i.e., the persistent current is periodic in magnetic flux ⌽ with a period ⌽ 0 /2, ⌽ 0 ϭhc/e being the elementary flux quantum.…”

Spectral and Transport Properties of One-Dimensional Nanoring Superlattice

“…Theoretical investigations of chains containing finite number of elements [3,4] have shown that the conductance of the system demonstrates the miniband structure of the electron energy spectrum even at a few rings in the chain. That means the dependence of conductance on Fermi energy exhibits a series of almost rectangular up-and-down steps corresponding to bands and gaps in the spectrum.…”

“…In particular, transmission properties of multiply connected stubs, [1] quantum dots [2] and quantum rings in linear [3][4][5][6][7] and rectangular arrays [8] have been studied theoretically. The interest to the systems is stipulated by the possibility to tune the resistance in a very wide range by application of electric or magnetic field and the possibility to obtain specific transport properties of the system by variation of its geometry.…”